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You are here: Home / Archives for Articles

Articles

Find all articles across all article series listed in reverse chronological order.

by Fred Schenkelberg 2 Comments

Weibull Distribution

Weibull Distribution

A continuous distribution is useful for modeling time to failure data. For reliability practitioners, the Weibull distribution is a versatile and powerful tool. I often fit a Weibull when first confronted with a life dataset, as it provides a reasonable fit given the flexibility provided by the distributions parameters. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistics distributions and functions, Weibull distribution

by Fred Schenkelberg 3 Comments

Reliability Value

Reliability Value

What is reliability management? Reliability Engineering? Would a product design or an organization benefit with a focus on reliability management and engineering? What is the value of a focus on reliability?

Any organization, that develops and produces products, has resource limits. It may be talent, capabilities, time, funding, or some combination of these. Yet, the goal to create a product that meets customer expectations includes the concept of product reliability. The product should provide the expected functions over time, without failure. This expected product reliability occurs, even if the design requirements and advertising do not explicitly mention product reliability. [Read more…]

Filed Under: Articles, Musings on Reliability and Maintenance Topics, on Product Reliability Tagged With: Value

by Fred Schenkelberg Leave a Comment

Reactive and Proactive

Reactive and Proactive

Do you let events happen to you, or do events follow your designs and expectations? Are you a spectator or actor? Do you wonder about your product’s future or do you control your product’s future? Are you reactive or proactive?

Every reliability and maintenance program is a system. Every program has inputs, such as product testing results and field returns. Every reliability program has outputs, such as product design and production. In the most basic terms, a reliability program includes product specifications for functionality including expected durability. The program includes some form of design, verification, production and field performance. Given this basic lifecycle description, it is possible for two types of approaches to executing the product lifecycle. [Read more…]

Filed Under: Articles, Musings on Reliability and Maintenance Topics, on Product Reliability Tagged With: Product development

by Fred Schenkelberg 3 Comments

Good Mind

Good Mind

It is not enough to have a good mind; it is more important to use it well. — Descartes

Learning and Value

Over the past week, I’ve received a couple of questions about the pursuit of a graduate degree in reliability engineering and about preparing for the CRE. One question was particularly interesting – how will a reliability engineering graduate degree or CRE help my career? [Read more…]

Filed Under: Articles, CRE Prep, CRE Preparation Notes, Reliability Management Tagged With: Benefits of reliability engineering, Value

by Fred Schenkelberg Leave a Comment

Variance

Variance

In another post, I started the discussion about variability and interquartile range. This is part 2 of that discussion and will focus on variance.

With rare exception, most distributions or groups of data require more than one parameter (or statistic) to fully describe both the location and spread (scale and shape) of the group of data. Is the data clumped tightly about some value, or spread out over a wide range. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistics concepts

by Fred Schenkelberg Leave a Comment

Reliability Culture

Reliability Culture

Years ago I had the opportunity to assess the reliability programs of two organizations. They made similar products for different segments of the market, and they both had about the same size an organization. Two years previously, both organizations lost the reliability professional from their staffs. Furthermore, both teams were located in one building, one upstairs and the other downstairs, which made scheduling the assessment interviews convenient.

[Read more…]

Filed Under: Articles, Musings on Reliability and Maintenance Topics, on Product Reliability

by Fred Schenkelberg 1 Comment

Musings on Reliability and Maintenance Topics

Musings on Reliability and Maintenance Topics

I write quite a bit about reliability and have plans to write quite a bit more. I have looked to prolific authors in our field with admiration and respect: Wayne Nelson, Patrick O’Connor or Terrence O’Hanlon, they all share so much knowledge. They make the subjects and material clear and accessible. They have in large part helped me all throughout my career by enabling my ability to solve problems and create value.

Of course, there are many others that have contributed to my career and my approach to engineering. My colleagues, managers, and mentors have each helped to educate and develop my skills and approach. Every single client has also contributed. As many of you have heard from me, I learn from every encounter and feel very fortunate to have a career that enables such wonderful exploration and learning as part of my day-to-day work. [Read more…]

Filed Under: Articles, Musings on Reliability and Maintenance Topics, on Product Reliability

by Fred Schenkelberg 1 Comment

Degradation Hypothesis

Degradation Hypothesis

This week I received a question from the ASQ Librarian concerning a person’s question about one of the CRE Question bank questions. It was a nice two-part question concerning a hypothesis test of a sample means value and degradation.

Here’s the question as sent over for consideration. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Hypothesis testing

by Fred Schenkelberg 11 Comments

Binomial Cumulative Density Function

Binomial Cumulative Density Function

Last week I posted about the Binomial probability density function, and it is useful when calculating the probability of exactly x successes out of n trials given p probability of success for each trial.

Well, what happens if you want to know the probability of 2 or more successes for example? [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Binomial distribution, Statistics distributions and functions

by Fred Schenkelberg 2 Comments

Binomial Probability Density Function

Binomial Probability Density Function

There are many cases where the results of an experiment (or trial) are either it works or it doesn’t, pass/fail, success/failure. Only two possible outcomes one of which we define as success the other outcome as failure. The binomial distribution is suitable if the random variable (the set of experimental or trial outcomes) when

  • the number of trials is fixed, and
  • the probability of success is equal for all trials.

[Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistics distributions and functions

by Fred Schenkelberg 6 Comments

Common Formulas

Common Formulas

Running through a couple of practice CRE exams recently (yeah, I know I should get out more…) found a few formulas kept coming up in the questions. While it is not a complete list of equation you’ll need for the exam, the following five will help in many of the questions. They seem popular maybe because the relate to key concepts in the body of knowledge, or they are easy to use in question creation. I do not know why. [Read more…]

Filed Under: Articles, CRE Prep, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Exponential distribution, Failure Rate, Statistics distributions and functions

by Fred Schenkelberg 4 Comments

Reliability from Hazard Step Function

Reliability from Hazard Step Function

Received a sample problem from someone preparing for the CRE exam saying it was a tricky one. 

The hazard rate function for a device is given by

0.001 if t ≤ 10 hours  and 0.01 if t > 10 hours

What is the reliability of this device at 12 hours?

I first draw the hazard function [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistics distributions and functions

by Fred Schenkelberg 12 Comments

Exponential Reliability

Exponential Reliability

Down to the last week of preparation for the exam on March 2nd. Good luck to all those signed up for that exam date. Time to focus on preparing your notes, organizing your references and doing a final run through of practice exams. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability, Reliability Modeling and Predictions Tagged With: Exponential distribution, Failure Rate, Reliability Block Diagram (RBD), Statistics distributions and functions

by Fred Schenkelberg 40 Comments

Reliability with Confidence

Reliability with Confidence

There are rare situations when we would like to estimate the reliability at the lower confidence level after estimating the mean from a sample (often a test result). And, to make even more rare of a situation, we know the population standard deviation. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Reliability Modeling and Predictions Tagged With: Life estimation

by Fred Schenkelberg Leave a Comment

OC Curve with Hypergeometric Method

OC Curve with Hypergeometric Method

The operating characteristic curve is used to understand lot sampling plan. It graphically provides a relationship between the unknown lot’s defect rate (or total) and the probability of the specific sampling plan to accept the lot. Very good plans discriminate between good and bad lots. Poor plans may accept bad lots or reject good lots to easily. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Reliability Testing Tagged With: Acceptance sampling, Hypergeometric distribution

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